Answer:
the first one
Step-by-step explanation:
22.46 MB + 13.312 MB + 11.7 MB = 47.472 MB
The answer is A) 7x103 is 3.5 times larger than 2x103
ANSWER
Vertex form;
![y = 3( {x + \frac{3}{2} })^{2} - \frac{35}{4}](https://tex.z-dn.net/?f=y%20%3D%203%28%20%7Bx%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%20%7D%29%5E%7B2%7D%20%20-%20%20%5Cfrac%7B35%7D%7B4%7D%20)
Vertex
![V( - \frac{3}{2} , - \frac{35}{4} )](https://tex.z-dn.net/?f=V%28%20%20-%20%5Cfrac%7B3%7D%7B2%7D%20%2C%20-%20%20%5Cfrac%7B35%7D%7B4%7D%20%29)
EXPLANATION
Given:
![f(x) = 3 {x}^{2} + 9x - 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20-%202)
We complete the square as follows:
![y = 3( {x}^{2} + 3x) - 2](https://tex.z-dn.net/?f=y%20%3D%203%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%29%20-%202)
![y = 3( {x}^{2} + 3x + \frac{9}{4} ) - 2 - 3 \times \frac{9}{4}](https://tex.z-dn.net/?f=y%20%3D%203%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20%2B%20%20%5Cfrac%7B9%7D%7B4%7D%20%29%20-%202%20-%203%20%5Ctimes%20%20%5Cfrac%7B9%7D%7B4%7D%20)
The vertex form is:
![y = 3( {x + \frac{3}{2} })^{2} - \frac{35}{4}](https://tex.z-dn.net/?f=y%20%3D%203%28%20%7Bx%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%20%7D%29%5E%7B2%7D%20%20-%20%20%5Cfrac%7B35%7D%7B4%7D%20)
The vertex is
![V( - \frac{3}{2} , - \frac{35}{4} )](https://tex.z-dn.net/?f=V%28%20%20-%20%5Cfrac%7B3%7D%7B2%7D%20%2C%20-%20%20%5Cfrac%7B35%7D%7B4%7D%20%29)